Question

Write an equation of the line (Type your answer in slope-intercept form.)

Answer 1

Answer:

The equation of the line in the slope-intercept form is:

y = -3x + 6

Step-by-step explanation:

The line passes through the points (0, 6) and (2, 0)

That is x₁ = 0, y₁ = 6, x₂ = 2, y₂ = 0

The slope (m) of the line is calculated below

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(0-6)/(2-0) \\ m=-(6)/(2) \\ m=-3 \end{gathered}`

From the graph shown:

The y-intercept, c = 6

The slope-intercept form of the equation of a line is:

y = mx + c

Substitute m = -3 and c = 6 into the equation above

y = -3x + 6

The equation of the line in the slope-intercept form is:

y = -3x + 6